FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Fourier Transform of Rectangular Window Formula

Fx Copy

LaTeX Copy

Rectangular Window provides the minimum mean square error estimate of the Discrete-time Fourier transform, at the cost of other issues discussed. Check FAQs

W rn = \frac{\sin (2 \cdot π \cdot T o \cdot f inp)}{π \cdot f inp}

W_rn - Rectangular Window?T_o - Unlimited Time Signal?f_inp - Input Periodic Frequency?π - Archimedes' constant?

Fourier Transform of Rectangular Window Example

With values

With units

Only example

Here is how the Fourier Transform of Rectangular Window equation looks like with Values.

Here is how the Fourier Transform of Rectangular Window equation looks like with Units.

Here is how the Fourier Transform of Rectangular Window equation looks like.

0.0373 = \frac{\sin (2 \cdot 3.1416 \cdot 40 \cdot 5.01)}{3.1416 \cdot 5.01}

0.0373 = \frac{\sin (2 \cdot 3.1416 \cdot 40 \cdot 5.01Hz)}{3.1416 \cdot 5.01Hz}

0.0373 = \frac{\sin (2 \cdot 3.1416 \cdot 40 \cdot 5.01)}{3.1416 \cdot 5.01}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Signal and Systems » fx Fourier Transform of Rectangular Window

Fourier Transform of Rectangular Window Solution

Follow our step by step solution on how to calculate Fourier Transform of Rectangular Window?

FIRST Step Consider the formula

W rn = \frac{\sin (2 \cdot π \cdot T o \cdot f inp)}{π \cdot f inp}

Next Step Substitute values of Variables

∴

W rn = \frac{\sin (2 \cdot π \cdot 40 \cdot 5.01Hz)}{π \cdot 5.01Hz}

Next Step Substitute values of Constants

∴

W rn = \frac{\sin (2 \cdot 3.1416 \cdot 40 \cdot 5.01Hz)}{3.1416 \cdot 5.01Hz}

Next Step Prepare to Evaluate

∴

W rn = \frac{\sin (2 \cdot 3.1416 \cdot 40 \cdot 5.01)}{3.1416 \cdot 5.01}

Next Step Evaluate

∴

W rn = 0.0373448815883735

LAST Step Rounding Answer

∴

W rn = 0.0373

Fourier Transform of Rectangular Window Formula Elements

Variables

Constants

Functions

Rectangular Window

Rectangular Window provides the minimum mean square error estimate of the Discrete-time Fourier transform, at the cost of other issues discussed.

Symbol: W_rn

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rectangular Window

Unlimited Time Signal

Unlimited Time Signal is one that is both zero and nonzero for a infinite length time interval.

Symbol: T_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Unlimited Time Signal

Input Periodic Frequency

Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second.

Symbol: f_inp

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Input Periodic Frequency

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Discrete Time Signals category

Go Cutoff Angular Frequency

ω co = \frac{M \cdot f ce}{W ss \cdot K}

Go Hanning Window

W hn = \frac{1}{2} - (\frac{1}{2}) \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Hamming Window

W hm = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Triangular Window

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1}) - 0.08 \cdot \cos (\frac{4 \cdot π \cdot n}{W ss - 1})

How to Evaluate Fourier Transform of Rectangular Window?

Fourier Transform of Rectangular Window evaluator uses Rectangular Window = sin(2*pi*Unlimited Time Signal*Input Periodic Frequency)/(pi*Input Periodic Frequency) to evaluate the Rectangular Window, The Fourier Transform of Rectangular Window formula is defined as the minimum mean square error estimate of the Discrete-time Fourier transform, at the cost of other issues discussed. In general, the transform is applied to the product of the waveform and a window function. Rectangular Window is denoted by W_rn symbol.

How to evaluate Fourier Transform of Rectangular Window using this online evaluator? To use this online evaluator for Fourier Transform of Rectangular Window, enter Unlimited Time Signal (T_o) & Input Periodic Frequency (f_inp) and hit the calculate button.

FAQs on Fourier Transform of Rectangular Window

What is the formula to find Fourier Transform of Rectangular Window?

The formula of Fourier Transform of Rectangular Window is expressed as Rectangular Window = sin(2*pi*Unlimited Time Signal*Input Periodic Frequency)/(pi*Input Periodic Frequency). Here is an example- 0.037345 = sin(2*pi*40*5.01)/(pi*5.01).

How to calculate Fourier Transform of Rectangular Window?

With Unlimited Time Signal (T_o) & Input Periodic Frequency (f_inp) we can find Fourier Transform of Rectangular Window using the formula - Rectangular Window = sin(2*pi*Unlimited Time Signal*Input Periodic Frequency)/(pi*Input Periodic Frequency). This formula also uses Archimedes' constant and Sine (sin) function(s).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Fourier Transform of Rectangular Window Formula

Fourier Transform of Rectangular Window Example

Fourier Transform of Rectangular Window Solution

Fourier Transform of Rectangular Window Formula Elements

Other formulas in Discrete Time Signals category

How to Evaluate Fourier Transform of Rectangular Window?

FAQs on Fourier Transform of Rectangular Window

Variable Name